NOTE: ANSWER ALL. I'll leave a like. Previous answers are always incomplete and wrong.  a.  Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? b. In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they be selected such that at least one boy should be there?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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NOTE: ANSWER ALL. I'll leave a like. Previous answers are always incomplete and wrong. 

a.  Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

b. In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they be selected such that at least one boy should be there?

c. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

d. In how many ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

 

 

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